Function Field Arithmetic

Released on by Dinesh S. Thakur
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  • Function Field Arithmetic Book Detail

  • Author : Dinesh S. Thakur
  • Release Date : 2004
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 405
  • ISBN 13 : 9812388397
  • File Size : 66,66 MB
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Function Field Arithmetic by Dinesh S. Thakur PDF Summary

Book Description: This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations), diophantine approximation and related interesting open problems. While it covers many topics treated in 'Basic Structures of Function Field Arithmetic' by David Goss, it complements that book with the inclusion of recent developments as well as the treatment of new topics such as diophantine approximation, hypergeometric functions, modular forms, transcendence, automata and solitons. There is also new work on multizeta values and log-algebraicity. The author has included numerous worked-out examples. Many open problems, which can serve as good thesis problems, are discussed.

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Function Field Arithmetic

Function Field Arithmetic

File Size : 71,71 MB
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This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values

Drinfeld Modules

Drinfeld Modules

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This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory. After the first two c